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PhysicsModern PhysicsMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

Two nuclei have mass numbers in the ratio $1 : 8$ . The ratio of their nuclear radii would be:

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Answer:

Solution:

$\begin{array}{l} A_{1} : A_{2} = 1 : 8 \\ \Rightarrow \frac{A_{1}}{A_{2}} = \frac{1}{8} \end{array}$ Since , $R = R_{0} A^{1 / 3}$ $\begin{array}{l} ∴ \frac{R_{1}}{R_{2}} = \frac{A_{1}^{1 / 3}}{A_{2}^{1 / 3}} \\ \Rightarrow {(\frac{A_{1}}{A_{2}})}^{1 / 3} = {(\frac{1}{8})}^{1 / 3} \\ = \frac{1}{2} \end{array}$ The ratio of their radii = $1 : 2$ .

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Modern PhysicsSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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